Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case
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DOI: 10.1112/s0010437x19007486
Abstract: We show how the modular representation theory of inner forms of general linear groups over a non-Archimedean local field can be brought to bear on the complex theory in a remarkable way. Let $\text{F}$ be… read more here.
Keywords: langlands correspondence; jacquet langlands; unicode stix; correspondence ... See more keywords
The spectral p-adic Jacquet–Langlands correspondence and a question of Serre
Sign Up to like & getrecommendations! Published in 2022 at "Compositio Mathematica"
DOI: 10.1112/s0010437x22007308
Abstract: We show that the completed Hecke algebra of $p$-adic modular forms is isomorphic to the completed Hecke algebra of continuous $p$-adic automorphic forms for the units of the quaternion algebra ramified at $p$ and $\infty$.… read more here.
Keywords: langlands correspondence; jacquet langlands; question; spectral adic ... See more keywords